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Finding the Fourth Proportional to 142,094.96, 213,142.08 and 133,434.08

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Solution

The fourth proportional to 142,094.96, 213,142.08 and 133,434.08 is: 200,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,094.96 : 213,142.08 = 133,434.08 : x
  2. Step 2: Convert to fraction form
    142,094.96/213,142.08 = 133,434.08/x
  3. Step 3: Cross multiply
    142,094.96x = 213,142.08 × 133,434.08
  4. Step 4: Simplify right side
    142,094.96x = 28,440,417,354.09
  5. Step 5: Solve for x
    x = 28,440,417,354.09/142,094.96
  6. Step 6: Final answer
    x = 200,150.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.